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Finding the Fourth Proportional to 6,980.91, 10,472.91 and 2,050.57

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Solution

The fourth proportional to 6,980.91, 10,472.91 and 2,050.57 is: 3,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.91 : 10,472.91 = 2,050.57 : x
  2. Step 2: Convert to fraction form
    6,980.91/10,472.91 = 2,050.57/x
  3. Step 3: Cross multiply
    6,980.91x = 10,472.91 × 2,050.57
  4. Step 4: Simplify right side
    6,980.91x = 21,475,435.06
  5. Step 5: Solve for x
    x = 21,475,435.06/6,980.91
  6. Step 6: Final answer
    x = 3,076.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.